نتایج جستجو برای: chemical graph theory

تعداد نتایج: 1277645  

فرشاد, محسن , فلقی, حمید , مویدی ‌راد, حجت ,

One of the ways of reducing active power losses in the distribution networks is using the network reconfiguration for different load levels. Since the number of possible configuration of a distribution network is usually very much and then review of all of them (especially in the network of large-scale) to finding the optimal configuration is not possible simply, therefore in this paper a new a...

Journal: :Journal of chemical information and modeling 2008
Sara N. Pollock Evangelos A. Coutsias Michael J. Wester Tudor I. Oprea

Mapping the chemical space of small organic molecules is approached from a theoretical graph theory viewpoint, in an effort to begin the systematic exploration of molecular topologies. We present an algorithm for exhaustive generation of scaffold topologies with up to eight rings and an efficient comparison method for graphs within this class. This method uses the return index, a topological in...

Journal: :Physical chemistry chemical physics : PCCP 2010
Remi Chauvin Christine Lepetit Patrick W Fowler Jean-Paul Malrieu

The interpretation of topological resonance energy (TRE), the mathematical measure of energetic chemical aromaticity at the Hückel level of theory, is revisited by providing a concise analysis of the matching polynomial of a chemical graph. Whereas the matching (or acyclic) polynomial is not a properly characteristic polynomial in general, it is the arithmetic mean of the characteristic polynom...

Journal: :CoRR 2018
Chao Shang Qinqing Liu Ko-Shin Chen Jiangwen Sun Jin Lu Jinfeng Yi Jinbo Bi

Graph convolutional network (GCN) is generalization of convolutional neural network (CNN) to work with arbitrarily structured graphs. A binary adjacency matrix is commonly used in training a GCN. Recently, the attention mechanism allows the network to learn a dynamic and adaptive aggregation of the neighborhood. We propose a new GCN model on the graphs where edges are characterized in multiple ...

Journal: :Symmetry 2018
José M. Rodríguez

This book contains the successful invited submissions [1–10] to a special issue of Symmetry on the subject area of ‘graph theory’. Although symmetry has always played an important role in graph theory, in recent years, this role has increased significantly in several branches of this field, including, but not limited to: Gromov hyperbolic graphs, metric dimension of graphs, domination theory, a...

2011
Jesse D. Gilbert

This is a replacement paper. Some of the conclusions from statistical graph theory are reiterated in the sixth section, but not fully resolved therein. Most of the redundancies in the later sections have been deleted. An important number-theoretical technique in the opening section relates to one of the main techniques in the last (sixth) section.

Journal: :Archive of Formal Proofs 2013
Lars Noschinski

This development provides a formalization of directed graphs, supporting (labelled) multi-edges and infinite graphs. A polymorphic edge type allows edges to be treated as pairs of vertices, if multi-edges are not required. Formalized properties are i.a. walks (and related concepts), connectedness and subgraphs and basic properties of isomorphisms. This formalization is used to prove characteriz...

ژورنال: ریاضی و جامعه 2019

این نوشته برگردان مقاله زیر است: ‎‎Richard Hoshino and Ken-ichi Kawarabayashi‎, ‎Graph Theory and Sports Scheduling‎, ‎Notices of the AMS‎, 60 (2013) 726-731‎.

Journal: :Journal of Statistical Mechanics: Theory and Experiment 2019

Journal: :CoRR 2012
Hosam Abdo Nathann Cohen Darko Dimitrov

Albertson [3] has defined the irregularity of a simple undirected graph G = (V,E) as irr(G) = ∑ uv∈E |dG(u)− dG(v)| , where dG(u) denotes the degree of a vertex u ∈ V . Recently, this graph invariant gained interest in the chemical graph theory, where it occured in some bounds on the first and the second Zagreb index, and was named the third Zagreb index [13]. For general graphs with n vertices...

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